(* Content-type: application/vnd.wolfram.mathematica *)

(*** Wolfram Notebook File ***)
(* http://www.wolfram.com/nb *)

(* CreatedBy='Mathematica 10.4' *)

(*CacheID: 234*)
(* Internal cache information:
NotebookFileLineBreakTest
NotebookFileLineBreakTest
NotebookDataPosition[       158,          7]
NotebookDataLength[     15583,        522]
NotebookOptionsPosition[     11530,        404]
NotebookOutlinePosition[     14189,        474]
CellTagsIndexPosition[     14059,        468]
WindowTitle->FeynAmpDenominatorExplicit
WindowFrame->Normal*)

(* Beginning of Notebook Content *)
Notebook[{
Cell[BoxData[GridBox[{
   {Cell["FEYN CALC SYMBOL", "PacletNameCell"], Cell[TextData[{
     Cell[BoxData[
      ActionMenuBox[
       FrameBox[
        InterpretationBox[Cell[TextData[{
          "See Also",
          StyleBox[" \[FilledDownTriangle]", "AnchorBarArrow",
           StripOnInput->False]
         }]],
         TextCell[
          Row[{"See Also", 
            Style[" \[FilledDownTriangle]", "AnchorBarArrow"]}]]],
        StripOnInput->False], {"\<\"FeynAmpDenominator\"\>":>
       Documentation`HelpLookup[
       "paclet:FeynCalc/ref/FeynAmpDenominator"], \
"\<\"PropagatorDenominator\"\>":>Documentation`HelpLookup[
       "paclet:FeynCalc/ref/PropagatorDenominator"]},
       Appearance->None,
       MenuAppearance->Automatic,
       MenuStyle->"SeeAlso"]],
      LineSpacing->{1.4, 0}],
     "\[ThickSpace]\[ThickSpace]\[ThickSpace]\[ThickSpace]\[ThickSpace]\
\[ThickSpace]",
     Cell[BoxData[
      ActionMenuBox[
       FrameBox[
        InterpretationBox[Cell[TextData[{
          "URL",
          StyleBox[" \[FilledDownTriangle]", "AnchorBarArrow",
           StripOnInput->False]
         }]],
         TextCell[
          Row[{"URL", 
            Style[" \[FilledDownTriangle]", "AnchorBarArrow"]}]]],
        StripOnInput->
         False], {"\<\"FeynCalc/ref/FeynAmpDenominatorExplicit\"\>":>
       None, "\<\"Copy Wolfram Documentation Center URL\"\>":>
       Module[{DocumentationSearch`Private`nb$}, 
        DocumentationSearch`Private`nb$ = NotebookPut[
           Notebook[{
             Cell["FeynCalc/ref/FeynAmpDenominatorExplicit"]}, Visible -> 
            False]]; SelectionMove[
         DocumentationSearch`Private`nb$, All, Notebook]; 
        FrontEndTokenExecute[DocumentationSearch`Private`nb$, "Copy"]; 
        NotebookClose[DocumentationSearch`Private`nb$]; Null], 
       Delimiter, "\<\"Copy web URL\"\>":>
       Module[{DocumentationSearch`Private`nb$}, 
        DocumentationSearch`Private`nb$ = NotebookPut[
           Notebook[{
             Cell[
              BoxData[
               MakeBoxes[
                Hyperlink[
                "http://reference.wolfram.com/language/FeynCalc/ref/\
FeynAmpDenominatorExplicit.html"], StandardForm]], "Input", TextClipboardType -> 
              "PlainText"]}, Visible -> False]]; 
        SelectionMove[DocumentationSearch`Private`nb$, All, Notebook]; 
        FrontEndTokenExecute[DocumentationSearch`Private`nb$, "Copy"]; 
        NotebookClose[DocumentationSearch`Private`nb$]; 
        Null], "\<\"Go to web URL\"\>":>FrontEndExecute[{
         NotebookLocate[{
           URL[
            StringJoin[
             If[
              TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$131707], 
              "http://reference.wolfram.com/system-modeler/", 
              "http://reference.wolfram.com/language/"], 
             "FeynCalc/ref/FeynAmpDenominatorExplicit", ".html"]], None}]}]},
       Appearance->None,
       MenuAppearance->Automatic,
       MenuStyle->"URLMenu"]],
      LineSpacing->{1.4, 0}]
    }], "AnchorBar"]}
  }]], "AnchorBarGrid",
 GridBoxOptions->{GridBoxItemSize->{"Columns" -> {
     Scaled[0.65], {
      Scaled[0.34]}}, "ColumnsIndexed" -> {}, "Rows" -> {{1.}}, 
   "RowsIndexed" -> {}}},
 CellID->1],

Cell[TextData[{
 Cell["FeynAmpDenominatorExplicit", "ObjectName"],
 Cell[BoxData[
  InterpretationBox[
   StyleBox[
    GraphicsBox[{},
     BaselinePosition->Baseline,
     ImageSize->{8, 0}],
    CacheGraphics->False],
   Spacer[8]]]],
 Cell[BoxData[""], "ObjectNameTranslation"]
}], "ObjectNameGrid"],

Cell[CellGroupData[{

Cell[BoxData[GridBox[{
   {"", Cell[TextData[{
     Cell[BoxData[
      RowBox[{"FeynAmpDenominatorExplicit", "[", "exp", "]"}]], 
      "InlineFormula"],
     " \[LineSeparator]",
     "changes each occurence of PropagatorDenominator[a,b] in exp into \
1/(ScalarProduct[a,a]-b^2) and replaces FeynAmpDenominator by Identity."
    }]]}
  }]], "Usage",
 GridBoxOptions->{
 GridBoxBackground->{
  "Columns" -> {{None}}, "ColumnsIndexed" -> {}, "Rows" -> {{None}}, 
   "RowsIndexed" -> {}}},
 CellID->982511436],

Cell[CellGroupData[{

Cell[TextData[Cell[BoxData[
 ButtonBox[Cell[TextData[{
   Cell[BoxData[
    InterpretationBox[
     StyleBox[
      GraphicsBox[{},
       BaselinePosition->Baseline,
       ImageSize->{6, 0}],
      CacheGraphics->False],
     Spacer[6]]]],
   "Details"
  }], "NotesFrameText"],
  Appearance->{Automatic, None},
  BaseStyle->None,
  ButtonFunction:>(FrontEndExecute[{
     FrontEnd`SelectionMove[
      FrontEnd`SelectedNotebook[], All, ButtonCell], 
     FrontEndToken["OpenCloseGroup"], 
     FrontEnd`SelectionMove[
      FrontEnd`SelectedNotebook[], After, CellContents]}]& ),
  Evaluator->None,
  Method->"Preemptive"]]]], "NotesSection",
 WholeCellGroupOpener->True,
 CellGroupingRules->{"SectionGrouping", 50},
 CellID->891184810],

Cell["", "SectionHeaderSpacer"],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"Options", "[", "FeynAmpDenominatorExplicit", "]"}]], "Input",
 CellLabel->"In[45]:="],

Cell[BoxData[
 FormBox[
  RowBox[{"{", 
   RowBox[{
    RowBox[{"Denominator", "\[Rule]", "False"}], ",", 
    RowBox[{"Dimension", "\[Rule]", "False"}], ",", 
    RowBox[{"ExpandScalarProduct", "\[Rule]", "True"}], ",", 
    RowBox[{"FeynCalcExternal", "\[Rule]", "False"}], ",", 
    RowBox[{"FeynCalcInternal", "\[Rule]", "False"}], ",", 
    RowBox[{"Head", "\[Rule]", "Identity"}], ",", 
    RowBox[{"Mandelstam", "\[Rule]", 
     RowBox[{"{", "}"}]}], ",", 
    RowBox[{"MomentumCombine", "\[Rule]", "False"}], ",", 
    RowBox[{"SmallVariable", "\[Rule]", "False"}]}], "}"}], 
  TraditionalForm]], "Output",
 ImageSize->{433, 54},
 ImageMargins->{{0, 0}, {0, 0}},
 ImageRegion->{{0, 1}, {0, 1}},
 CellLabel->"Out[45]="]
}, Open  ]]
}, Closed]]
}, Open  ]],

Cell[CellGroupData[{

Cell[TextData[{
 Cell[BoxData[
  InterpretationBox[
   StyleBox[
    GraphicsBox[{},
     BaselinePosition->Baseline,
     ImageSize->{6, 0}],
    CacheGraphics->False],
   Spacer[6]]]],
 "Examples",
 "\[NonBreakingSpace]\[NonBreakingSpace]",
 Cell["(1)", "ExampleCount"]
}], "PrimaryExamplesSection",
 WholeCellGroupOpener->True,
 CellTags->"PrimaryExamplesSection",
 CellID->433821716],

Cell[CellGroupData[{

Cell[TextData[{
 "Basic Examples",
 "\[NonBreakingSpace]\[NonBreakingSpace]",
 Cell["(1)", "ExampleCount"]
}], "ExampleSection", "ExampleSection",
 WholeCellGroupOpener->True,
 CellID->1823468778],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"FAD", "[", 
  RowBox[{
   RowBox[{"{", 
    RowBox[{"q", ",", "m"}], "}"}], ",", 
   RowBox[{"{", 
    RowBox[{
     RowBox[{"q", "-", "p"}], ",", "0"}], "}"}]}], "]"}]], "Input",
 CellTags->"FeynAmpDenominatorExplicit",
 CellLabel->"In[1]:=",
 CellID->1979434489],

Cell[BoxData[
 FormBox[
  FractionBox["1", 
   RowBox[{
    RowBox[{"(", 
     InterpretationBox[
      RowBox[{
       SuperscriptBox[
        FormBox[
         FormBox["q",
          TraditionalForm],
         TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", 
       "\[InvisibleSpace]", 
       SuperscriptBox["m", "2"]}],
      SequenceForm[
       FeynCalc`Pair[
        FeynCalc`Momentum[$CellContext`q, D], 
        FeynCalc`Momentum[$CellContext`q, D]], "-", $CellContext`m^2],
      Editable->False], ")"}], ".", 
    InterpretationBox[
     SuperscriptBox[
      RowBox[{
       FormBox["\<\"(\"\>",
        TraditionalForm], 
       FormBox[
        FormBox[
         RowBox[{
          FormBox["q",
           TraditionalForm], "-", 
          FormBox["p",
           TraditionalForm]}],
         TraditionalForm],
        TraditionalForm], 
       FormBox["\<\")\"\>",
        TraditionalForm]}], "2"],
     SequenceForm[
      FeynCalc`Pair[
       FeynCalc`Momentum[-$CellContext`p + $CellContext`q, D], 
       FeynCalc`Momentum[-$CellContext`p + $CellContext`q, D]]],
     Editable->False]}]], TraditionalForm]], "Output",
 ImageSize->{144, 43},
 ImageMargins->{{0, 0}, {0, 0}},
 ImageRegion->{{0, 1}, {0, 1}},
 CellTags->"FeynAmpDenominatorExplicit",
 CellLabel->"Out[1]="]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"FeynAmpDenominatorExplicit", "[", "%", "]"}]], "Input",
 CellTags->"FeynAmpDenominatorExplicit",
 CellLabel->"In[2]:=",
 CellID->1414487344],

Cell[BoxData[
 FormBox[
  FractionBox["1", 
   RowBox[{
    RowBox[{"(", 
     RowBox[{
      SuperscriptBox[
       FormBox[
        FormBox["q",
         TraditionalForm],
        TraditionalForm], "2"], "-", 
      SuperscriptBox["m", "2"]}], ")"}], " ", 
    RowBox[{"(", 
     RowBox[{
      RowBox[{"-", 
       RowBox[{"2", " ", 
        RowBox[{"(", 
         RowBox[{
          FormBox[
           FormBox["p",
            TraditionalForm],
           TraditionalForm], 
          FormBox["\<\"\[CenterDot]\"\>",
           TraditionalForm], 
          FormBox[
           FormBox["q",
            TraditionalForm],
           TraditionalForm]}], ")"}]}]}], "+", 
      SuperscriptBox[
       FormBox[
        FormBox["p",
         TraditionalForm],
        TraditionalForm], "2"], "+", 
      SuperscriptBox[
       FormBox[
        FormBox["q",
         TraditionalForm],
        TraditionalForm], "2"]}], ")"}]}]], TraditionalForm]], "Output",
 ImageSize->{236, 43},
 ImageMargins->{{0, 0}, {0, 0}},
 ImageRegion->{{0, 1}, {0, 1}},
 CellTags->"FeynAmpDenominatorExplicit",
 CellLabel->"Out[2]="]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{
  RowBox[{"%", "//", "FCE"}], "//", "StandardForm"}]], "Input",
 CellLabel->"In[3]:="],

Cell[BoxData[
 FractionBox["1", 
  RowBox[{
   RowBox[{"(", 
    RowBox[{
     RowBox[{"-", 
      SuperscriptBox["m", "2"]}], "+", 
     RowBox[{"SPD", "[", 
      RowBox[{"q", ",", "q"}], "]"}]}], ")"}], " ", 
   RowBox[{"(", 
    RowBox[{
     RowBox[{"SPD", "[", 
      RowBox[{"p", ",", "p"}], "]"}], "-", 
     RowBox[{"2", " ", 
      RowBox[{"SPD", "[", 
       RowBox[{"p", ",", "q"}], "]"}]}], "+", 
     RowBox[{"SPD", "[", 
      RowBox[{"q", ",", "q"}], "]"}]}], ")"}]}]]], "Output",
 ImageSize->{422, 40},
 ImageMargins->{{0, 0}, {0, 0}},
 ImageRegion->{{0, 1}, {0, 1}},
 CellLabel->"Out[3]//StandardForm="]
}, Open  ]]
}, Open  ]],

Cell["", "SectionFooterSpacer"]
}, Open  ]],

Cell[CellGroupData[{

Cell[TextData[{
 Cell[BoxData[
  InterpretationBox[
   StyleBox[
    GraphicsBox[{},
     BaselinePosition->Baseline,
     ImageSize->{6, 0}],
    CacheGraphics->False],
   Spacer[6]]]],
 "See Also"
}], "SeeAlsoSection",
 WholeCellGroupOpener->True,
 CellID->1255426704],

Cell[TextData[{
 StyleBox[ButtonBox["FeynAmpDenominator",
  BaseStyle->"Link",
  ButtonData->"paclet:FeynCalc/ref/FeynAmpDenominator",
  ButtonNote->"FeynAmpDenominator"],
  FontFamily->"Verdana"],
 ", ",
 StyleBox[ButtonBox["PropagatorDenominator",
  BaseStyle->"Link",
  ButtonData->"paclet:FeynCalc/ref/PropagatorDenominator",
  ButtonNote->"PropagatorDenominator"],
  FontFamily->"Verdana"],
 "."
}], "SeeAlso"]
}, Open  ]],

Cell[" ", "FooterCell"]
},
Saveable->False,
ScreenStyleEnvironment->"Working",
WindowSize->{725, 750},
WindowMargins->{{-10, Automatic}, {Automatic, -8}},
WindowTitle->"FeynAmpDenominatorExplicit",
TaggingRules->{
 "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> 
  GridBox[{{
      RowBox[{
        ButtonBox[
        "FeynCalc", ButtonData -> "paclet:FeynCalc/guide/FeynCalc", 
         BaseStyle -> {"Link", "DockedLinkTrail"}]}]}}, ColumnAlignments -> 
    Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> 
  None, "RootCaptions" -> "", 
  "Metadata" -> {
   "built" -> "{2020, 6, 20, 19, 6, 35.528635}", 
    "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", 
    "keywords" -> {}, "specialkeywords" -> {}, 
    "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> 
    "Feyn Calc Symbol", "language" -> "en", "paclet" -> "FeynCalc", "status" -> 
    "None", "summary" -> 
    "FeynAmpDenominatorExplicit[exp] changes each occurence of \
PropagatorDenominator[a,b] in exp into 1/(ScalarProduct[a,a]-b^2) and \
replaces FeynAmpDenominator by Identity.", "synonyms" -> {}, 
    "tabletags" -> {}, "title" -> "FeynAmpDenominatorExplicit", 
    "titlemodifier" -> "", "windowtitle" -> "FeynAmpDenominatorExplicit", 
    "type" -> "Symbol", "uri" -> "FeynCalc/ref/FeynAmpDenominatorExplicit"}, 
  "SearchTextTranslated" -> ""},
CellContext->"Global`",
FrontEndVersion->"10.4 for Linux x86 (64-bit) (April 11, 2016)",
StyleDefinitions->Notebook[{
   Cell[
    StyleData[
    StyleDefinitions -> FrontEnd`FileName[{"Wolfram"}, "Reference.nb"]]], 
   Cell[
    StyleData["Input"], CellContext -> "Global`"], 
   Cell[
    StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, 
  FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", 
  StyleDefinitions -> "Default.nb"]
]
(* End of Notebook Content *)

(* Internal cache information *)
(*CellTagsOutline
CellTagsIndex->{
 "PrimaryExamplesSection"->{
  Cell[6399, 194, 387, 15, 31, "PrimaryExamplesSection",
   CellTags->"PrimaryExamplesSection",
   CellID->433821716]},
 "FeynAmpDenominatorExplicit"->{
  Cell[7032, 223, 288, 10, 27, "Input",
   CellTags->"FeynAmpDenominatorExplicit",
   CellID->1979434489],
  Cell[7323, 235, 1300, 44, 64, "Output",
   CellTags->"FeynAmpDenominatorExplicit"],
  Cell[8660, 284, 164, 4, 27, "Input",
   CellTags->"FeynAmpDenominatorExplicit",
   CellID->1414487344],
  Cell[8827, 290, 1107, 42, 64, "Output",
   CellTags->"FeynAmpDenominatorExplicit"]}
 }
*)
(*CellTagsIndex
CellTagsIndex->{
 {"PrimaryExamplesSection", 13497, 450},
 {"FeynAmpDenominatorExplicit", 13650, 454}
 }
*)
(*NotebookFileOutline
Notebook[{
Cell[598, 21, 3241, 79, 53, "AnchorBarGrid",
 CellID->1],
Cell[3842, 102, 303, 11, 45, "ObjectNameGrid"],
Cell[CellGroupData[{
Cell[4170, 117, 508, 14, 102, "Usage",
 CellID->982511436],
Cell[CellGroupData[{
Cell[4703, 135, 738, 24, 31, "NotesSection",
 CellGroupingRules->{"SectionGrouping", 50},
 CellID->891184810],
Cell[5444, 161, 31, 0, 70, "SectionHeaderSpacer"],
Cell[CellGroupData[{
Cell[5500, 165, 109, 2, 70, "Input"],
Cell[5612, 169, 726, 18, 75, "Output"]
}, Open  ]]
}, Closed]]
}, Open  ]],
Cell[CellGroupData[{
Cell[6399, 194, 387, 15, 31, "PrimaryExamplesSection",
 CellTags->"PrimaryExamplesSection",
 CellID->433821716],
Cell[CellGroupData[{
Cell[6811, 213, 196, 6, 26, "ExampleSection",
 CellID->1823468778],
Cell[CellGroupData[{
Cell[7032, 223, 288, 10, 27, "Input",
 CellTags->"FeynAmpDenominatorExplicit",
 CellID->1979434489],
Cell[7323, 235, 1300, 44, 64, "Output",
 CellTags->"FeynAmpDenominatorExplicit"]
}, Open  ]],
Cell[CellGroupData[{
Cell[8660, 284, 164, 4, 27, "Input",
 CellTags->"FeynAmpDenominatorExplicit",
 CellID->1414487344],
Cell[8827, 290, 1107, 42, 64, "Output",
 CellTags->"FeynAmpDenominatorExplicit"]
}, Open  ]],
Cell[CellGroupData[{
Cell[9971, 337, 110, 3, 27, "Input"],
Cell[10084, 342, 621, 21, 76, "Output"]
}, Open  ]]
}, Open  ]],
Cell[10732, 367, 31, 0, 29, "SectionFooterSpacer"]
}, Open  ]],
Cell[CellGroupData[{
Cell[10800, 372, 270, 12, 31, "SeeAlsoSection",
 CellID->1255426704],
Cell[11073, 386, 415, 13, 56, "SeeAlso"]
}, Open  ]],
Cell[11503, 402, 23, 0, 41, "FooterCell"]
}
]
*)

(* End of internal cache information *)

